38369509793160 has 1024 divisors, whose sum is σ = 148513766768640. Its totient is φ = 7713363456000.

The previous prime is 38369509793123. The next prime is 38369509793179. The reversal of 38369509793160 is 6139790596383.

It is a super-2 number, since 2×38369509793160² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8738214565 + ... + 8738218955.

It is an arithmetic number, because the mean of its divisors is an integer number (145032975360).

Almost surely, 2^{38369509793160} is an apocalyptic number.

38369509793160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38369509793160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74256883384320).

38369509793160 is an abundant number, since it is smaller than the sum of its proper divisors (110144256975480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38369509793160 is a wasteful number, since it uses less digits than its factorization.

38369509793160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 69.

The spelling of 38369509793160 in words is "thirty-eight trillion, three hundred sixty-nine billion, five hundred nine million, seven hundred ninety-three thousand, one hundred sixty".